We present a discussion of some numerical algorithms for the solution of the Vlasov-Maxwell system of equations in the magnetized, nonrelativistic case. We show that a splitting scheme combined with a Van Leer type of discretization provides an efficient and accurate scheme for integrating the motio
Error analysis of a numerical scheme for 3D Maxwell–Landau–Lifshitz system
✍ Scribed by Ivan Cimrák
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 167 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.863
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✦ Synopsis
Abstract
We suggest a linear numerical scheme solving strongly non‐linear coupled Maxwell–Landau–Lifshitz (Maxwell–LL) system describing ferromagnetic phenomena. Using recent results on the regularity of the solutions to the Maxwell–LL system we are able to prove convergence and to derive the error estimates for this numerical scheme. We provide numerical examples which confirm the theoretical results. Copyright © 2007 John Wiley & Sons, Ltd.
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